Frederick Fleet told an official inquiry of a “slight haze” on the horizon before the Titanic struck the iceberg. He said it was significant enough to have discussed with a colleague.

Why was the infinitival perfect used here? The event of his discussing with a colleague occured after he felt the need to talk to someone about the situation. So, here the infinitival perfect doesn't have anything to do with anteriority, in my opinion. Am I wrong about this?